Exponential and Log Equations
Expand and Condense Logs
Misc Logs / Exponents
Applications (calc active)
Taking "Off"
100

log3(2x+1)=2

x=4
100

log2(x/y)

log2x - log2y

100

log327

3

100

A population follows the logistic model:

500 / (1 + 30e-0.1t)

What is the carrying capacity of this model?

500

100

When you aren't connected to the internet, but you may still be able to work this way

What is offline?

200

25x+2=53

x = -1/2

200

log23 + 4log2y

log23y4

200

log7732

32

200

The half-life of Nickel-63 is 96 years, what is its decay rate? 

k = -0.007

200

The international chili society sanctions this type of competition worldwide

What is a cookoff?

300

log6(x+1)-log6(4) = 1

x=23

300

log2(32v5)

5 + 5log2v

300

Simplify using only positive exponents:

(3x * 4x ) / (3x7)

4/x5

300

There are two solutions, one solution has a pH of 3 and another solution has a pH of 6. How many times more H+ ions does the first solution have compared to the second?

1000 times

300

It's a new TV series that is derived from an existing one, like how "Teen Mom" came from "16 and Pregnant". 

What is a spinoff?

400

16(1/64)2n = 4

n = 1/6

400

9log5x + 3log5y + 3log5z

log5(x9y3z3)

400

log(1/100)

-2

400

A soda at a temperature of 68 degrees is placed in a refrigerator with an internal temperature of 37 degrees. After 5 minutes, the soda has cooled to 61 degrees. Find the model for the temperature as a function of time. 

T = 37+31e-0.051t

400

Beware of this unlicensed copy of a more expensive item like a name brand purse or watch

What is a knockoff?

500

log9x+log9(x+24) = 2

x=3

500

log3((zx)6/9)2

12log3z +12log3x - 4

500

Simplify using only positive exponents:

(6x * 2x2)-1 * (2x-1)

1/(6x4)

500

Using the model for temperature: T = 37+31e-0.051t

How long does it take the soda to cool to 45 degrees?

26.6 minutes

500
It's a 9-letter word for one's children

What is offspring?

M
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n
u